In this research, systems of linear and nonlinear differential equations of fractional order are
solved analytically using the novel interesting method: ARA‐Residual Power Series (ARA …

Fuzzy fractional differential has the strength to capture the senses of memory and
uncertainty simultaneously involved in dynamical systems. However, a solution for fuzzy …

In this study, different systems of linear and non-linear fractional initial value problems are
solved analytically utilizing an attractive novel technique so-called the Laplace residual …

Most physical phenomena are formulated in the form of non-linear fractional partial
differential equations to better understand the complexity of these phenomena. This article …

In this work, the Optimal Homotopy Asymptotic Method (OHAM) is prolifically implemented to
find the optimal solutions of fractional order of fuzzy differential equations. We inspect the …

Many phenomena in physics and engineering can be built by linear and nonlinear fractional
partial differential equations which are considered an accurate instrument to interpret these …

The study of the time‐fractional vibration equation (VE) of large membranes is vital due to its
widespread applications. Various researchers have investigated the titled problem in which …

In this article, an attractive numeric–analytic algorithm, called the fractional residual power
series algorithm, is implemented for predicting the approximate solutions for a certain class …

This article employs the Laplace residual power series approach to study nonlinear systems
of time-fractional partial differential equations with time-fractional Caputo derivative. The …

Differential equations are employed in a variety of engineering and applied mathematics
fields, including mechanics, thermodynamics, and general relativity. It is occasionally …